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Finding the Fourth Proportional to 193,926, 290,817 and 67,533.80

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Solution

The fourth proportional to 193,926, 290,817 and 67,533.80 is: 101,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,926 : 290,817 = 67,533.80 : x
  2. Step 2: Convert to fraction form
    193,926/290,817 = 67,533.80/x
  3. Step 3: Cross multiply
    193,926x = 290,817 × 67,533.80
  4. Step 4: Simplify right side
    193,926x = 19,639,977,114.60
  5. Step 5: Solve for x
    x = 19,639,977,114.60/193,926
  6. Step 6: Final answer
    x = 101,275.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.